The vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium is h = M/(p*A), expressed in terms of the variables M, p, and A.
How to determine the vertical distance from the surface of a liquid to the bottom of an object that floats upright in the liquid?To determine the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium, we can use Archimedes' principle, which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. At equilibrium, the weight of the object is balanced by the buoyant force acting on it.
The buoyant force acting on the object is given by:
F_b = V_fluid * p * g
where V_fluid is the volume of fluid displaced by the object, p is the density of the fluid, and g is the acceleration due to gravity.
Since the object is fully submerged, the volume of fluid displaced by the object is equal to the volume of the object. The volume of the object can be expressed as:
V_object = h * A
where h is the height of the object, and A is the cross-sectional area of the object.
The weight of the object is given by:
W = M * g
where M is the mass of the object.
At equilibrium, the buoyant force is equal to the weight of the object, so we can set the two equations equal to each other and solve for h:
V_fluid * p * g = M * g
Substituting V_fluid = V_object and rearranging, we get:
h = M/(p*A)
Therefore, the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium is h = M/(p*A), expressed in terms of the variables M, p, and A.
Learn more about application of Archimedes' principle
brainly.com/question/787619
#SPJ11
The vector product of vectors and has magnitude and is in the direction. If vector has magnitude 8. 0 m and is in the direction, what are the magnitude and direction of vector if it has no component?.
The magnitude and direction of vector B if it has no X-component is 2m along negative y direction.
Given the magnitude of vector A is 8m
The direction of vector A is negative x-axis = -8i
The magnitude of vector product of two vectors A and B is = 16m
The direction of vector (A x B) is along z-axis = (A X B) = 16k
We know that from product of vectors i x j = k
So, B must be pointing in the -y direction which means:
B = -lBlj
Then, A X B = (8 x B)(i x j) = 16k
B = 2m
Hence the magnitude and direction of vector B if it has no X-component is 2m along negative y direction.
To learn more about vector click here https://brainly.com/question/29708786
#SPJ4
complete question: The vector product of vectors and B has magnitude 16.0 m? and is in the +z-direction. If vector A has magnitude 8.0 m and is in the -x-direction, what are the magnitude and direction of vector B if it has no X-component?
As you walk to science class, you start out at a speed of 2 m/s, for a time of 120 seconds (you’re really excited to get to class). Then you see your friend and slow down to a speed of 0.5m/s for 30 seconds. You stop at your locker for 40 seconds (a speed of 0 m/s). You realize that you are about to be late so you hurry to class at a speed of 1 m/s and get to class just as the bell rings (4 minutes after your trip started). How far did you travel total?
The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
What is Speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.
The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.
Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
To learn more about Speed, refer to the link:
https://brainly.com/question/28224010
#SPJ1
A
is the order in which things are arranged.
O plan
sequence
O process
O goal
Answer:
sequence
Explanation:
sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)
24 1 point
Complete the fission reaction below by choosing the right isotope to go in the blank.
23U+n-
+Sr +3 n
the electric potential inside a charged solid spherical conductor in equilibriumgroup of answer choicesdecreases from its value at the surface to a value of zero at the center.is constant and equal to its value at the surface.is always zero.increases from its value at the surface to a value at the center that is a multiple of the potential at the surface.
The electric potential inside a charged solid spherical conductor in equilibrium is:
(b) constant and equal to its value at the surface.
In a solid spherical conductor, the excess charge distributes itself uniformly on the outer surface of the conductor due to electrostatic repulsion.
This results in the electric potential inside the conductor being constant and having the same value as the potential at the surface. The charges inside the conductor arrange themselves in such a way that there is no electric field or potential gradient within the conductor.
Therefore, the electric potential inside the charged solid spherical conductor remains constant and equal to its value at the surface, regardless of the distance from the center.
To learn more about spherical conductor
brainly.com/question/30262563
#SPJ11
explain the difference between a scalar and a vector.
Answer:
A scalar is a quantity having magnitude and direction , and a vector is an object having magnitude and direction
Explanation:
PLEASE MARK BRAINLIEST
Look at the diagram below. What is the total resistance of the resistors in this circuit?
The total resistance of the resistors in the circuit from the diagram is 20 Ω.
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit.
To calculate the total resistance of the resistors in parallel, we use the formula below.
Note: Both resistors are connected in series.
Formula:
For series connection
R = R₁+R₂................ Equation 1Where:
R = Total resistance of the resistor in the circuit.From the diagram,
Given:
R₁ = 10 ΩR₂ = 10 ΩSubstitute these values into equation 1
R = 10+10R = 20 ΩHence, the total resistance is 20 Ω.
Learn more about resistance here: https://brainly.com/question/24858512
#SPJ1
Two blocks, A and B of masses 0.06 kg and 0.18 kg respectively, are side by side in contact with each other. They are pushed along a smooth floor under the action of a constant force F applied to A. Find the force exerted on B by A
Force exerted on block B by block A is half of the applied force, i.e., 0.5F.
What is force?Force is defined as an action that can change any object's state of motion, either by changing its speed or direction.
When force F is applied to block A, it will experience acceleration, which will result in a net force being exerted on block B due to the frictional force between the blocks.
Let a be the common acceleration of the blocks, which is same for both blocks since they are in contact with each other. Net force acting on block A is F - f, where f is frictional force between the blocks. Net force acting on block B is f.
F - f = ma ; f = mb * a
ma and mb are the masses of blocks A and B, respectively.
F - f = f ; F = 2f
F = 2mb * a
F = (ma + 2mb) * a
F = 0.36 * a
Therefore, force exerted on block B by block A is : f = mb * a = 0.18 * a
f = 0.18 * F / 0.36 = 0.5F
Therefore, force exerted on block B by block A is half of the applied force, i.e., 0.5F.
To know more about force, refer
https://brainly.com/question/12785175
#SPJ1
incline plane is given length 12m,load 600 newton,effort 200 Newton, Height 3 metre find its velocity ratio and mechanical advantage
Answer:
i. The velocity ratio of the plane is 4.
ii. The mechanical advantage of the plane is 3.
Explanation:
i. The velocity ratio (VR) of an inclined plane is ratio of its length to the height. It is given as;
VR = \(\frac{length of the plane}{height}\) = \(\frac{l}{h}\)
Given: l = 12 m, L = 600 N, E = 200 N, h = 3 m.
So that,
VR = \(\frac{12}{3}\)
= 4
The velocity ratio of the plane is 4.
ii. Mechanical advantage (MA) expresses the relationship between the load overcome to effort applied.
MA = \(\frac{Load}{Effort}\) = \(\frac{L}{E}\)
= \(\frac{600}{200}\)
= 3
The mechanical advantage of the plane is 3.
Therefore, the velocity ratio of the inclined plane is 4, and its mechanical advantage is 3.
places of hot climate it is advised that outer walls of houses be painted white. Why?
Answer: In places of hot climate it is advised that the outer wall of houses be painted white because white color reflects heat and the houses do not heat up too much.
Can anyone pls help me out in dis i am struggling in dis!
Answer:
Last option - E
Answer:
The obvious answer would be letter E
Explanation:
each drawing shows three points along the path of a projectile, one on its way up, one at the top, and one on its way down. the launch point is on the left in each drawing. which drawing correctly represents the acceleration a of the projectile at these three points?
The acceleration of the particle is constant \((a=9.8 m/sec^2)\), and it is vertically downward. Therefore, the correct option is diagram no 4.
In the case of a projectile launched into the air, the acceleration acts vertically and is influenced by gravity.
Let's analyze the three points along the path of the projectile:
1. On its way up: At this point, the projectile is moving upwards, and gravity is acting in the downward direction. Therefore, the acceleration of the projectile at this point is directed downward to oppose the upward motion and eventually bring the projectile to a stop.
2. At the top: The projectile reaches its maximum height and momentarily comes to a stop before starting to fall back down. At this point, the acceleration is solely due to gravity, and it acts vertically downward. The acceleration at the top of the projectile's path is directed downward.
3. On its way down: The projectile is now moving downward, and gravity continues to act in the downward direction. The acceleration at this point is again directed downward, assisting the downward motion of the projectile.
Considering these factors, the drawing that correctly represents the acceleration of the projectile at these three points should show the acceleration vector pointing vertically downward in all three positions.
This represents the consistent influence of gravity on the projectile throughout its motion.
Therefore, the correct option is diagram no 4. The acceleration of the particle is constant \((a=9.8 m/sec^2)\), and it is vertically downward.
Know more about acceleration:
https://brainly.com/question/12550364
#SPJ4
a 1-kg ball that is traveling at 12.0 m/s collides head-on with a 3-kg ball moving in the opposite direction at a speed of 2.0 m/s. the 1-kg ball bounces backward at 9.0 m/s after the collision. find the speed of the second ball after the collision. (check definitions for options)
Velocity of first ball is -28m/s , and velocity of second ball is -4m/s.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position. It is equal to the displacement of an object divided by the time interval over which the displacement occurred. Velocity has both magnitude and direction, and its units are typically meters per second (m/s). The velocity of an object can change over time due to acceleration, and if an object is moving in a circular path, it also has a component of velocity perpendicular to its direction of motion, known as centripetal velocity.
Given : Coefficient of restitution
\($e=\dfrac{2}{3}$Velocity of mass\)
\($$1 \mathrm{~kg}$ after the collision is given by \\\\$V_1=\dfrac{\left(m_1-e m_2\right) u_1+(1+e) m_2 u_2}{m_1+m_2}$\\Or $\quad V_1=\dfrac{\left(1-\frac{2}{3} \times 2\right) \times 12+\left(1+\frac{2}{3}\right) \times 2 \times(-24)}{1+2}=-28 \mathrm{~m} / \mathrm{s}$\\\)
\(Velocity of mass $2 \mathrm{~kg}$ after the collision is given by \\$V_2=\dfrac{\left(m-e m_1\right) u_2+(1+e) m_1 u_1}{m_1+m_2}$\\Or $\quad V_2=\dfrac{\left(2-\frac{2}{3} \times 1\right) \times(-24)+\left(1+\frac{2}{3}\right) \times 1 \times(12)}{1+2}=-4 \mathrm{~m} / \mathrm{s}$\)
To learn more about Velocity, click the given link,
brainly.com/question/25749514
#SPJ4
how can magnetic potential energy be transferred to kinetic energy
Answer:
A magnetic force can convert kinetic energy stored in a magnetic field to potential energy. Kinetic energy can convert potential energy stored in a gravitational field. A magnetic energy can convert potential energy stored in a gravitational field to kinetic energy.
help please
A vector in the xy plane has components \( -14.0 \) units in the \( x \)-direction and 5 units in the \( y \)-direction. (a) What is the magnitude of the vector?
The magnitude of the vector with components -14.0 units in the x-direction and 5 units in the y-direction can be calculated using the Pythagorean theorem.
The magnitude of a vector represents its length or size. In the xy plane, the magnitude of a vector with components in the x-direction (horizontal) and y-direction (vertical) can be found using the Pythagorean theorem. The theorem states that the square of the magnitude of a vector is equal to the sum of the squares of its components.
For the given vector with components -14.0 units in the x-direction and 5 units in the y-direction, we can calculate its magnitude as follows:
Magnitude = sqrt(\(14^{2} } +5^{2}\))
Magnitude = sqrt(196 + 25)
Magnitude = sqrt(221)
Magnitude ≈ 14.87 units
Therefore, the magnitude of the vector is approximately 14.87 units. This represents the length or size of the vector in the xy plane, taking into account its components in the x and y directions.
Learn more about vectors here: https://brainly.com/question/30122065
#SPJ11
What sort of force is magnetism?
pls help ASAP :)
no links pls
Answer:
Magnetism is one aspect of the combined electromagnetic force. It refers to physical phenomena arising from the force caused by magnets, objects that produce fields that attract or repel other objects.
Impulse is defined as a change in what?
a. Velocity
b. Direction
c. Inertia
d. Momentum
A waiter is carrying a tray above his head and walking at a constant velocity. If he applies a force of 5.0 newtons on the tray and covers a distance of 10.0 meters, how much work is being done?
Answer:
0 J
Explanation:
Work is the dot product of force and displacement. In other words, it is the force times the distance traveled in the direction of the force.
W = Fd cos θ
In this case, the force is vertical and the displacement is horizontal. So the angle between them is θ = 90°. The work done is:
W = (5.0 N) (10.0 m) cos(90°)
W = 0 J
a solenoid has a radius of 2cm and is 0.95m long and has 1200 turns. if the current is 3.6a what is the magnetic field inside the coil?
The magnetic field inside the solenoid with current 3.6 A is 5.4 × 10-3 T.
A solenoid is a type of coil, which is an electromagnetic device made up of a cylindrical length of wire wrapped around a piece of ferromagnetic material.
The magnetic field produced inside a solenoid can be determined using the following formula:
B=μni
B = μni,
where B is the magnetic field strength, μ is the permeability of free space (4π × 10-7 T·m/A), n is the number of turns per unit length, and i is the current through the solenoid.
Let's use this formula to solve the given problem.
The solenoid has a radius of 2 cm, which is equivalent to 0.02 m.
Length of the solenoid (l) = 0.95 m
Number of turns (n) = 1200
Current (i) = 3.6 A
B = μni
B = μni = 4π × 10-7 × 1200 × 3.6 / 0.95
B = 5.4 × 10-3 T
Tesla (T) is the unit of measurement for magnetic field strength.
Therefore, the magnetic field inside the solenoid is 5.4 × 10-3 T.
Learn more about magnetic field at: https://brainly.com/question/14411049
#SPJ11
The time for a radar signal to travel to the moon and back, a one-way distance of about 3.8 x 108 m, is:______.
Answer
1.3 seconds
Explanation:
Distance between moon and earth, S=4×108m
Speed of radar signal, c=3.08×108m/s
We know,
Distance between moon and earth,
S=c×t, where t is the time taken by the radar signal to reach moon.
⇒4×108=3.08×108×tor,t=3.08×1084×108
t=1.3s
Hence it will take 1.3 seconds for the radar signal to reach from earth to moon
An extension cord made of two wires of diameter 0.129 cm (no. 16 copper wire) and of length 2.4 m (8 ft) is connected to an electric heater which draws 13.5 A on a 120-V line. How much power is dissipated in the cord?
The power dissipated in the cord that is made up of two wires of diameter 0.129 cm (no. 16 copper wire) and length, 2.4 m (8 ft) that is connected to an electric heater which draws 13.5 A on a 120-V line is 191.40 W.
How to find the power dissipated in the cord?
The diameter of each wire = 0.129 cm length of the cord = 2.4 current through the wire = 13.5 A, Voltage across the wire = 120 V.
For no. 16 wire the resistance per unit length is 4.016 × 10-3 Ω/m. The resistance of each wire is R = ρl/A, where ρ = resistivity, l = length of the wire, A = area of the cross-section of the wire, and diameter of the wire = 0.129 cm. So, radius = d/2 = 0.0645 cm = 6.45 × 10-4 m
A = πr² = π(6.45 × 10-4 m)² = 3.289 × 10-7 m²
Area of a cross-section of each wire = 2 × 3.289 × 10-7 m² = 6.578 × 10-7 m²
The resistance per unit length of no. 16 wire is 4.016 × 10-3 Ω/m.
So, the resistance of each wire is R = (4.016 × 10-3 Ω/m) × (2.4 m) / (6.578 × 10-7 m²)= 1462.42 Ω
The total resistance of the wire is RT = 2R = 2 × 1462.42 Ω= 2924.84 Ω
Now, the power dissipated in the cord is P = I²R= (13.5 A)² × 2924.84 Ω= 191.40 W
Therefore, the power dissipated in the cord that is made up of two wires of diameter 0.129 cm (no. 16 copper wire) and length 2.4 m (8 ft) that is connected to an electric heater which draws 13.5 A on a 120-V line is 191.40 W.
To know more about power dissipated, visit:
https://brainly.com/question/12803712
#SPJ11
If an Isotope has a Half-life of minutes. How many Half-life's have occurred after 24 minutes?
Answer:12
Explanation:
A 0.55 kg block is being pulled by a 2.5 n force east across a horizontal frictionless surface what is the acceleration of the block
Answer:
The answer is 4.54 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{2.5}{0.55} \\ = 4.545454...\)
We have the final answer as
4.54 m/s²Hope this helps you
True or false, the hardest working muscle in the body is the gluteus Maximus?
Answer:heart
The hardest working muscle is the heart. It pumps out 2 ounces (71 grams) of blood at every heartbeat. Daily the heart pumps at least 2,500 gallons (9,450 liters) of blood. The heart has the ability to beat over 3 billion times in a person's life.
Explanation:hope this helps
What role does gravity play in the orbit of planets?
Answer: Gravity is what holds the planets in orbit around the sun and what keeps the moon in orbit around Earth
Explanation:
explain how to find the surface area of a rectangular pyramid
...................
Answer:
So let's first start with the base which is a rectangle remember that the formula to solve the area
Explanation:
Match the reactants with the products. zinc sulfate + copper aluminum chloride + copper copper oxide copper + water copper sulfate + oxygen
Answer:
The Reactants Products
Copper sulfate + zinc → Zinc sulfate + copper
aluminum + copper chloride → Aluminum chloride + Copper
Copper + Oxygen → Copper oxide
Explanation:
The Reactants Products
Copper sulfate + zinc Zinc sulfate + copper
aluminum + copper chloride Aluminum chloride + Copper
Copper + Oxygen Copper oxide
First reaction can be described as a single replacement reaction
Second reaction is also a single replacement reaction just like the first reaction
The third is a synthesis reaction ( i.e. reaction in which elements combine to form single compound )
how fast must you be approaching a red traffic light ( λ = 675 nm ) for it to appear yellow ( λ = 575 nm )? express your answer in terms of the speed of light.
So, to observe the red traffic light as yellow, the observer must approach the light with a speed of 0.148 times the speed of light.
When the observer approaches the red traffic light with a speed, the light appears shifted towards the blue end of the spectrum. The apparent frequency and wavelength shift is calculated using the Doppler effect equation.
The Doppler shift is given by the relation f′= f (v+vO)/c
where, f' is the observed frequency, f is the frequency of the wave, v is the speed of the observer, v O is the speed of the source and c is the speed of the wave.
For the red traffic light,
f= c/λ = 4.44 × 10^14 Hzλ
= 675 nm
For the yellow traffic light,
f = c/λ
= 5.22 × 10^14 Hzλ
= 575 nm
As we know that the light appears yellow when the red light shifts 575 nm.
Therefore, the observer should be approaching the light with a speed given by the relation as,
∆f/f = v/c⇒ ∆λ/λ
= v/c⇒ v
= c (∆λ/λ)
= c [(λ_0 - λ)/λ_0 ]
Where,λ is the wavelength of the shifted light (λ = 575 nm),λ0 is the wavelength of the unshifted light (λ0 = 675 nm)
Therefore,
v = c [(675 - 575)/675]⇒ v
= 0.148c
So, the observer must approach the red traffic light at a speed of 0.148 times the speed of light to observe it as yellow.
An observer, when approaching a red traffic light, experiences a shift in the light's wavelength towards the blue end of the spectrum. This apparent frequency and wavelength shift is given by the Doppler effect equation.
The Doppler shift can be expressed using the relation,
f′= f (v+vO)/c
where, f' is the observed frequency, f is the frequency of the wave, v is the speed of the observer,v O is the speed of the source and c is the speed of the wave.
The frequency and wavelength of the red and yellow traffic lights are,
f= c/λ
= 4.44 × 10^14 Hz,
λ = 675 nm and
f = c/λ
= 5.22 × 10^14 Hz,
λ = 575 nm.
Since we know that the light appears yellow when the red light shifts by 575 nm, the observer must be approaching the light with a velocity given by the following relation:
∆f/f = v/c⇒ ∆λ/λ
= v/c⇒ v
= c (∆λ/λ_0 ) where λ_0 is the wavelength of the unshifted light (λ_0 = 675 nm)
Therefore,
v = c [(675 - 575)/675]⇒ v
= 0.148c
To know more about speed visit:
https://brainly.com/question/28224010
#SPJ11
Which of the following nuclei could be used in a nuclear fission power plant?
a. uranium-235
b. iron-56
c. krypton-92
d. barium-141
e. tritium
The correct option for the nuclei that could be used in a nuclear fission power plant is (a) uranium-235. Nuclear fission is the process of splitting an atomic nucleus into two or more smaller nuclei with a significant amount of energy being released. This process requires a nucleus that is fissile, meaning it can be split by neutrons.
Uranium-235 is a fissile isotope of uranium that can be used to sustain a nuclear chain reaction in a fission reactor, making it the most common fuel for nuclear power plants. Iron-56 is not a fissile isotope and cannot undergo nuclear fission. Krypton-92 and barium-141 are also not fissile isotopes and are not suitable for use as nuclear fuel. Tritium is a radioactive isotope of hydrogen that is used in some nuclear weapons and experimental fusion reactors, but it is not used in nuclear fission power plants.
Learn more about nuclear fission, here:
brainly.com/question/22155336
#SPJ11
What is the wavelength of a photon having a frequency of 49.3 THz? (1 THz = 10^15 Hz, c = 3.00 x 10^8 m/s, h = 6.63 x 10^-34 J .s) 9.81% 10-15 nm 3.27 x 10-23 nm 0.164 nm 06.08 nm 6.09 x 10-3 nm
The wavelength of a photon having a frequency of 49.3 THz is 6.09 x 10⁻³ nm.
The speed of light, c = 3.00 x 10⁸ m/s. The frequency of the photon, f = 49.3 THz = 49.3 x 10¹² Hz. We can use the formula c = λf, where λ is the wavelength of the photon, to find the value of λ. Rearranging the formula to solve for λ, we get λ = c/f. Substituting the values of c and f, we get λ = (3.00 x 10⁸ m/s)/(49.3 x 10¹² Hz) = 6.09 x 10⁻³ nm. Therefore, the wavelength of the photon is 6.09 x 10⁻³ nm.
light behaves both as a wave and as a particle called a photon. The frequency of a photon determines its energy and is directly proportional to it, while its wavelength is inversely proportional to it. This relationship is described by the equation E = hf, where E is the energy of the photon, h is Planck's constant (6.63 x 10⁻³⁴ J .s), and f is the frequency of the photon. The energy of a photon is also related to its
learn more about Energy here:
https://brainly.com/question/26523138
#SPJ11